What is the unit of angular velocity for a moving child on a merry-go-round?

[ciao_potter]

The unit of angular momentum is kg * m^2 / s (or I * W). The moment of inertia for a point mass, mr^2's unit is kgm^2. That means the unit of W has to be 1/s. I'm having trouble converting this to radian/s.

Thank you!

 

[haruspex]

653.4 kgm^2 = I * W = mr^2 * W

Has the child stopped moving?

That means the unit of W has to be 1/s. I'm having trouble converting this to radian/s

It is already rad/s.
Radians and degrees are a bit strange in that they have units but, conventionally, not dimension.
As it happens, I wrote an article on this: https://www.physicsforums.com/insights/can-angles-assigned-dimension/

 

[ciao_potter]

Since the child moves with the merry-go-round, we have to consider a separate moment of inertia for Lindsey, right?

 

[haruspex]

Since the child moves with the merry-go-round, we have to consider a separate moment of inertia for Lindsey, right?

Yes.